Place Value, Rounding, Addition, and Subtraction

Lesson 7

Math

Unit 1

4th Grade

Lesson 7 of 19

Objective


Read and write multi-digit numbers using base-ten numerals, number names, and expanded form.

Common Core Standards


Core Standards

  • 4.NBT.A.2 — Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Foundational Standards

  • 2.NBT.A.3

Criteria for Success


  1. Convert from word form to standard and expanded form. 
  2. Convert from standard form to word and expanded form. 
  3. Convert from expanded form to standard and word form. 

Tips for Teachers


  • Remember from Lesson 4 that when saying or writing a number in word form, the word “and” implies a decimal point and therefore should not be used when naming whole numbers. For example, 217,350 is read “two hundred seventeen thousand three hundred fifty,” not “two hundred and seventeen thousand three hundred and fifty.” Even though students have not yet seen decimals, it is important to read numbers correctly before they do.
  • This lesson does not immediately follow Lesson 4 so that there was more time for students to be comfortable reading numbers before being asked to write them in word form in this lesson. You may decide to move this lesson to after Lesson 4 and bump back Lessons 5 and 6.

Lesson Materials

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Anchor Tasks

25-30 minutes


Problem 1

a.   A man in Massachusetts won the lottery yesterday. Look how much he won!

The lottery made a mistake when they printed his check, though—it’s missing a dollar amount! What number should be written in that box?

b.   Use similar reasoning to write the following values in standard and expanded form.

  1. Two hundred seventy thousand eight hundred fifty
  2. Sixty-four thousand three

Guiding Questions

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Student Response

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Problem 2

Write each of the following in expanded and word form. 

a.   23,984

b.   601,408 

c.   7,056

Guiding Questions

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Student Response

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Problem 3

Write each of the following in standard and word form. 

a.   $$500,000 + 7,000 + 800 + 60 + 3$$

b.   $$(8\times 100,000) + (4 \times 10,000) + (1 \times 10) + (2 \times 1)$$

c.   $$9 \times 1,000 + 7 \times 100 + 6 \times 10 + 0 \times 1$$

Guiding Questions

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Student Response

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Problem Set

15-20 minutes


Discussion of Problem Set

  • Look at #2. What other numbers can be read more than one way? Which way of reading a number best helps you solve? When?
  • Compare the numbers in the first two rows in #3. What do you notice?
  • Look at #3. What number words were tricky to write? Which number words can be confused with other number words? Why? What strategies did you use to spell number words?
  • What made the expanded form options in #4 different from the way we usually write it? Why do you think we usually write it from largest to smallest value? 
  • Two students discussed the importance of zero. Nate said that zero is not important while Jill said that zero is extremely important. Who is right? Why do you think so?
  • What role can zero play in a number?
  • How is expanded form related to the standard form of a number?
  • When might you use expanded form to solve a calculation?

Target Task

5-10 minutes


Problem 1

Write 500,000 + 20,000 + 6,000 + 100 + 4 in standard and word form. 

Student Response

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Problem 2

Write three hundred forty thousand, seventy-eight in standard and expanded form.

Student Response

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Problem 3

Write 73,906 in word and expanded form.

Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Locate multi-digit numbers on a number line and explain their placement.

Lesson 8
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Place Value of Multi-Digit Whole Numbers

Topic B: Reading, Writing, and Comparing Multi-Digit Whole Numbers

Topic C: Rounding Multi-Digit Whole Numbers

Topic D: Multi-Digit Whole-Number Addition and Subtraction

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